Reconfigurable FPGA Realization of Fractional-Order Chaotic Systems

This paper proposes FPGA realization of an IP core for generic fractional-order derivative based on Grünwald-Letnikov approximation. design is applied to achieve reconfigurable chaotic systems. The real-time configuration boosts the suitability this particular different applications, including dynamic switching, synchronization, and encryption. proposed targets optimized utilization internal resources efficient employment external peripherals: switches I/O ports in board. digital dependent terms: binomial coefficients power function proposed. Three approximations using curve fitting are compared, settling quadratic approximation that balances accuracy efficiency. systems: Liu, Li Chen four-wing, verified both commensurate incommensurate orders cases, one approach order case two approaches case. realized Artix-7 board, yielding throughputs 1.1266, 1.434 Gbit/s cases three systems, respectively. Compared recent related works, implementation demonstrates its hardware potential applications.